A square is constructed using the hypotenuse line AC of right triangle ABC as a side, as shown below. Find the area of the square if AB = 5 and BC = 8.

Guest Oct 16, 2020

#1**+1 **

Find the hypotenuse (which is the side length of the square) via the pythagorean theorem

a^{2 }+ b^{2 }= c^{2}

^{5^2 +8^2 = c^2 c = sqrt (89) }

Area of square = side^2 sqrt(89)^{2} = 89 units ^{2}

ElectricPavlov Oct 16, 2020